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The new rules are also set to hand new powers to the Home Office to name people blocked from entering Britain and share their details with other countries. Currently individuals involved are guaranteed anonymity unless they choose to go public and fight their ban.

On Monday, Miss Smith said the Government planned to "name and shame" some extremists banned from entering the UK.

"Where it is in our interest we will name these people," the Home Secretary told MPs in the House of Commons.

"Coming to the UK is a privilege, and I don't want to extend that privilege to individuals who abuse our standards and values to undermine our way of life."

In the past three years, 230 people have been barred from entering the country on grounds of national security and for "unacceptable behaviour" - including inciting hatred and stirring up or glorifying terrorism.

Omar Bakri Mohammed, a radical Muslim cleric, was banned following the terrorist attacks against London in July 2005, on the grounds that his presence was "not conducive to the public good".

Yusuf al-Qaradawi, an Egypt-born preacher described as "dangerous and divisive" by David Cameron, the Conservative leader, was banned earlier this year.

The Liberal Democrats described the plans as inadequate and warned that they would not deal with the problem of advocates of illegal extremism already living here.

Chris Huhne, the party's home affairs spokesman, said: "The main problem with these sort of eye-catching gimmicks is they don't make us any safer at all. What we're looking for is delivery.

"[The plan] doesn't deal with the people who are already here or indeed the people who are preaching hate over the internet," Mr Huhne said.